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Finding the Third Proportional to 456,470 and 667,802

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Solution

The third proportional to 456,470 and 667,802 is: 976,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,470 : 667,802 = 667,802 : x
  2. Step 2: Convert to fraction form
    456,470/667,802 = 667,802/x
  3. Step 3: Cross multiply
    456,470x = 667,802 × 667,802
  4. Step 4: Simplify right side
    456,470x = 445,959,511,204
  5. Step 5: Solve for x
    x = 445,959,511,204/456,470
  6. Step 6: Final answer
    x = 976,974.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.